Let x be a random variable that represents the batting average of a professional baseball player. Let y be a random variable that represents the percentage of strikeouts of a professional baseball player. A random sample of n = 6 professional baseball players gave the following information. x 0.350 0.302 0.340 0.248 0.367 0.269 y 2.6 7.4 4.0 8.6 3.1 11.1 (a) Verify that Ex = 1.876, Ey = 36.8, Ex2 = 0.597858, Zy2 = 284.3, Exy = 10.7612, and r = -0.916. Ex Zy Ex 2 Ey2 EX (b) Use a 10% level of significance to test the claim that p # 0. (Use 2 decimal places.) critical t + Conclusion O Reject the null hypothesis, there is sufficient evidence that p differs from 0. O Reject the null hypothesis, there is insufficient evidence that p differs from 0. O Fail to reject the null hypothesis, there is insufficient evidence that p differs from 0. Fail to reject the null hypothesis, there is sufficient evidence that p differs from 0. (c) Verify that S = 1.5382, a = 26.754, and b ~ -65.951. (d) Find the predicted percentage y of strikeouts for a player with an x = 0.34 batting average. (Use 2 decimal places.) % (e) Find a 90% confidence interval for y when x = 0.34. (Use 2 decimal places.) lower limit upper limit % (f) Use a 10% level of significance to test the claim that p # 0. (Use 2 decimal places.) critical t # Conclusion O Reject the null hypothesis, there is sufficient evidence that f differs from 0. O Reject the null hypothesis, there is insufficient evidence that p differs from 0. Fall to reject the null hypothesis, there is Insufficient evidence that p differs from 0. O Fail to reject the null hypothesis, there is sufficient evidence that , differs from 0. (g) Find a 90% confidence interval for p and interpret Its meaning. (Use 2 decimal places.) lower limit unner limit